Transmission eigenvalues for the self-adjoint Schrödinger operator on the half line

DOI10.1088/0266-5611/30/7/075001zbMath1305.34145arXiv1404.2379OpenAlexW3106208258MaRDI QIDQ2874798

Tuncay Aktosun, Vassilis G. Papanicolaou

Publication date: 8 August 2014

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.2379

zbMATH Keywords

inverse problemtransmission eigenvaluesSchrödiger equationself-adjoint boundary condition

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Applications of operator algebras to the sciences (47L90) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Applications of selfadjoint operator algebras to physics (46L60) Applications of functional analysis in quantum physics (46N50) Inverse problems involving ordinary differential equations (34A55) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (7)

Inverse transmission eigenvalue problems for the Schrödinger operator with the Robin boundary condition ⋮ Inverse problem with transmission eigenvalues for the discrete Schrödinger equation ⋮ Stability of the inverse transmission eigenvalue problem for the Schrödinger operator with a radial potential ⋮ Unnamed Item ⋮ Inverse problems for selfadjoint Schrödinger operators on the half line with compactly supported potentials ⋮ On the partial inverse problems for the transmission eigenvalue problem of the Schrödinger operator ⋮ On a non-uniqueness theorem of the inverse transmission eigenvalues problem for the Schrödinger operator on the half line

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